Subgroups — C₃×#3562 #87446

Order 384.

1050 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#562	C₂	1	2	yes	maximal, complemented
2	C₃×#560	C₂	1	2	yes	maximal, complemented
3	C₃×#559	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#553	C₂	1	2	yes	maximal, complemented
6	C₃×#551	C₂	1	2	yes	maximal, complemented
7	C₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#540	C₂	1	2	yes	maximal, complemented
16	C₃×#539	C₂	1	2	yes	maximal, complemented
17	C₃×#538	C₂	1	2	yes	maximal, complemented
18	C₃×#538	C₂	1	2	yes	maximal, complemented
19	C₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	#3562	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
25	C₂×C₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₃×#41	C₂²	1	1	yes	characteristic
27	C₂×C₃×#41	C₂²	1	1	yes	characteristic
28	C₂×C₃×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₃×Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₃×D₄	C₂²	1	1	yes	characteristic
31	C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₃×#127	C₂²	1	1	yes	characteristic
34	C₃×#127	C₂²	1	1	yes	characteristic
35	C₃×#127	C₂²	1	2	yes	complemented
36	C₃×#126	C₂²	1	2	yes	—
37	C₃×#126	C₂²	1	1	yes	characteristic
38	C₃×#126	C₂²	1	2	yes	—
39	C₃×#126	C₂²	1	2	yes	complemented
40	C₃×#126	C₂²	1	2	yes	complemented
41	C₃×#126	C₂²	1	1	yes	characteristic, complemented
42	C₃×#126	C₂²	1	2	yes	complemented
43	C₃×#125	C₂²	1	2	yes	complemented
44	C₃×#125	C₂²	1	1	yes	characteristic, complemented
45	C₃×#125	C₂²	1	1	yes	characteristic, complemented
46	C₃×#125	C₂²	1	2	yes	complemented
47	C₃×#124	C₂²	1	1	yes	characteristic
48	C₃×#124	C₂²	1	1	yes	characteristic
49	C₃×#124	C₂²	1	1	yes	characteristic
50	C₃×#124	C₂²	1	1	yes	characteristic
51	C₃×#124	C₂²	1	1	yes	characteristic
52	C₃×#124	C₂²	1	2	yes	—
53	C₃×#124	C₂²	1	2	yes	complemented
54	C₃×#124	C₂²	1	1	yes	characteristic, complemented
55	C₃×#124	C₂²	1	2	yes	complemented
56	C₃×#123	C₂²	1	2	yes	—
57	C₃×#123	C₂²	1	1	yes	characteristic
58	C₃×#123	C₂²	1	2	yes	—
59	C₃×#123	C₂²	1	2	yes	—
60	C₃×#123	C₂²	1	2	yes	complemented
61	C₃×#123	C₂²	1	2	yes	complemented
62	C₃×#123	C₂²	1	2	yes	complemented
63	C₃×#123	C₂²	1	2	yes	complemented
64	C₃×#123	C₂²	1	2	yes	complemented
65	C₃×#123	C₂²	1	2	yes	complemented
66	C₃×#123	C₂²	1	1	yes	characteristic, complemented
67	C₃×#123	C₂²	1	2	yes	complemented
68	C₃×#123	C₂²	1	2	yes	complemented
69	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
70	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
71	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
72	C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
73	C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
74	C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
75	C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
77	C₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
78	C₃×#121	C₂²	1	1	yes	characteristic
79	C₃×#121	C₂²	1	2	yes	—
80	C₃×#121	C₂²	1	2	yes	—
81	C₃×#121	C₂²	1	2	yes	—
82	C₃×#121	C₂²	1	2	yes	—
83	C₃×#121	C₂²	1	1	yes	characteristic
84	C₃×#121	C₂²	1	2	yes	—
85	C₃×#121	C₂²	1	1	yes	characteristic
86	C₃×#121	C₂²	1	2	yes	—
87	C₃×#121	C₂²	1	2	yes	complemented
88	C₃×#121	C₂²	1	2	yes	complemented
89	C₃×#121	C₂²	1	2	yes	complemented
90	C₃×#121	C₂²	1	2	yes	complemented
91	C₃×#121	C₂²	1	2	yes	complemented
92	C₃×#121	C₂²	1	2	yes	complemented
93	C₃×#121	C₂²	1	2	yes	complemented
94	C₃×#121	C₂²	1	1	yes	characteristic, complemented
95	C₃×#120	C₂²	1	2	yes	—
96	C₃×#120	C₂²	1	2	yes	—
97	C₃×#120	C₂²	1	2	yes	—
98	C₃×#120	C₂²	1	2	yes	—
99	C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
100	C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
101	C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
102	C₃×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₃×C₄×D₄	C₂²	1	1	yes	characteristic
104	C₃×C₄×D₄	C₂²	1	1	yes	characteristic
105	C₃×C₄×D₄	C₂²	1	1	yes	characteristic
106	C₃×C₄×D₄	C₂²	1	1	yes	characteristic
107	C₃×C₄×D₄	C₂²	1	2	yes	complemented
108	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
109	C₃×C₄×D₄	C₂²	1	2	yes	complemented
110	C₃×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
111	C₃×C₄×D₄	C₂²	1	2	yes	complemented
112	C₃×C₄×D₄	C₂²	1	2	yes	complemented
113	C₃×C₄×D₄	C₂²	1	2	yes	complemented
114	C₃×C₄×D₄	C₂²	1	2	yes	complemented
115	C₃×C₄×D₄	C₂²	1	2	yes	complemented
116	C₃×#117	C₂²	1	1	yes	characteristic
117	C₃×#117	C₂²	1	1	yes	characteristic, complemented
118	C₃×#117	C₂²	1	2	yes	complemented
119	C₃×#117	C₂²	1	2	yes	complemented
120	C₂×C₃×C₄⋊C₄	C₂²	1	2	yes	complemented
121	C₂×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₂×C₃×C₂²⋊C₄	C₂²	1	2	yes	—
123	C₂×C₃×C₄²	C₂²	1	1	yes	characteristic, complemented
124	#562	C₂×C₃	1	2	yes	complemented
125	#560	C₂×C₃	1	2	yes	complemented
126	#559	C₂×C₃	1	1	yes	characteristic, complemented
127	#556	C₂×C₃	1	1	yes	characteristic, complemented
128	#553	C₂×C₃	1	2	yes	complemented
129	#551	C₂×C₃	1	2	yes	complemented
130	#550	C₂×C₃	1	1	yes	characteristic, complemented
131	#548	C₂×C₃	1	1	yes	characteristic, complemented
132	#548	C₂×C₃	1	1	yes	characteristic, complemented
133	#547	C₂×C₃	1	1	yes	characteristic, complemented
134	#546	C₂×C₃	1	1	yes	characteristic, complemented
135	#546	C₂×C₃	1	1	yes	characteristic, complemented
136	#541	C₂×C₃	1	1	yes	characteristic, complemented
137	#540	C₂×C₃	1	1	yes	characteristic, complemented
138	#540	C₂×C₃	1	2	yes	complemented
139	#539	C₂×C₃	1	2	yes	complemented
140	#538	C₂×C₃	1	2	yes	complemented
141	#538	C₂×C₃	1	2	yes	complemented
142	#536	C₂×C₃	1	1	yes	characteristic, complemented
143	#535	C₂×C₃	1	1	yes	characteristic, complemented
144	#532	C₂×C₃	1	1	yes	characteristic, complemented
145	#529	C₂×C₃	1	1	yes	characteristic, complemented
146	#529	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂⁴×C₃	C₂³	1	2	yes	—
148	C₃×#41	—	4	2	no	—
149	C₃×#41	—	4	2	no	—
150	C₃×#41	—	4	2	no	—
151	C₃×#41	—	4	2	no	—
152	C₂×C₃×Q₈	—	4	2	no	—
153	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
154	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
155	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
156	C₂×C₃×Q₈	C₂³	1	1	yes	characteristic
157	C₂×C₃×Q₈	C₂³	1	2	yes	—
158	C₂×C₃×D₄	—	4	2	no	—
159	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
160	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
161	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
162	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
163	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
164	C₂×C₃×D₄	C₂³	1	2	yes	—
165	C₂×C₃×D₄	C₂³	1	2	yes	—
166	C₂×C₃×D₄	C₂³	1	2	yes	—
167	C₂×C₃×D₄	C₂³	1	2	yes	—
168	C₂×C₃×D₄	C₂³	1	2	yes	—
169	C₂×C₃×D₄	C₂³	1	2	yes	—
170	C₂×C₃×D₄	C₂³	1	2	yes	—
171	C₂×C₃×D₄	C₂³	1	1	yes	characteristic
172	C₂×C₃×D₄	C₂³	1	2	yes	—
173	C₂×C₃×D₄	C₂³	1	2	yes	—
174	C₂×C₃×D₄	C₂³	1	2	yes	—
175	C₂×C₃×D₄	C₂³	1	2	yes	—
176	C₂×C₃×D₄	C₂³	1	2	yes	—
177	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
178	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
179	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
180	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
181	C₂²×C₃×C₄	C₂³	1	1	yes	characteristic
182	C₂²×C₃×C₄	C₂³	1	2	yes	—
183	C₂²×C₃×C₄	C₂³	1	2	yes	—
184	C₂²×C₃×C₄	C₂³	1	2	yes	—
185	C₂²×C₃×C₄	C₂³	1	2	yes	—
186	C₂²×C₃×C₄	C₂³	1	2	yes	—
187	C₂²×C₃×C₄	C₂³	1	2	yes	—
188	C₂²×C₃×C₄	C₂³	1	2	yes	—
189	C₂²×C₃×C₄	C₂³	1	2	yes	—
190	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₃×C₄⋊C₄	C₂³	1	2	yes	—
192	C₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₃×C₄⋊C₄	C₂³	1	2	yes	—
194	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₃×C₄⋊C₄	C₂³	1	2	yes	—
207	C₃×C₄⋊C₄	C₂³	1	2	yes	—
208	C₃×C₄⋊C₄	C₂³	1	2	yes	—
209	C₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₃×C₄⋊C₄	C₂³	1	2	yes	—
211	C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₃×C₄⋊C₄	C₂³	1	2	yes	—
213	C₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₃×C₂²⋊C₄	C₂³	1	2	yes	—
243	C₃×C₄²	C₂³	1	1	yes	characteristic
244	C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₃×C₄²	C₂³	1	1	yes	characteristic
246	C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₃×C₄²	C₂³	1	1	yes	characteristic
248	C₃×C₄²	C₂³	1	2	yes	—
249	C₃×C₄²	C₂³	1	1	yes	characteristic
250	C₃×C₄²	C₂³	1	2	yes	—
251	C₃×C₄²	C₂³	1	2	yes	—
252	C₂×#41	C₂²×C₃	1	1	yes	characteristic
253	C₂×#41	C₂²×C₃	1	1	yes	characteristic
254	C₂×#41	C₂²×C₃	1	1	yes	characteristic
255	C₂×#41	C₂²×C₃	1	1	yes	characteristic, complemented
256	C₂²×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
257	C₂²×D₄	C₂²×C₃	1	1	yes	characteristic
258	C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
259	C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
260	#127	C₂²×C₃	1	1	yes	characteristic
261	#127	C₂²×C₃	1	1	yes	characteristic
262	#127	C₂²×C₃	1	2	yes	complemented
263	#126	C₂²×C₃	1	1	yes	characteristic
264	#126	C₂²×C₃	1	2	yes	—
265	#126	C₂²×C₃	1	2	yes	—
266	#126	C₂²×C₃	1	2	yes	complemented
267	#126	C₂²×C₃	1	1	yes	characteristic, complemented
268	#126	C₂²×C₃	1	2	yes	complemented
269	#126	C₂²×C₃	1	2	yes	complemented
270	#125	C₂²×C₃	1	1	yes	characteristic, complemented
271	#125	C₂²×C₃	1	1	yes	characteristic, complemented
272	#125	C₂²×C₃	1	2	yes	complemented
273	#125	C₂²×C₃	1	2	yes	complemented
274	#124	C₂²×C₃	1	1	yes	characteristic
275	#124	C₂²×C₃	1	1	yes	characteristic
276	#124	C₂²×C₃	1	1	yes	characteristic
277	#124	C₂²×C₃	1	1	yes	characteristic
278	#124	C₂²×C₃	1	1	yes	characteristic
279	#124	C₂²×C₃	1	2	yes	—
280	#124	C₂²×C₃	1	1	yes	characteristic, complemented
281	#124	C₂²×C₃	1	2	yes	complemented
282	#124	C₂²×C₃	1	2	yes	complemented
283	#123	C₂²×C₃	1	1	yes	characteristic
284	#123	C₂²×C₃	1	2	yes	—
285	#123	C₂²×C₃	1	2	yes	—
286	#123	C₂²×C₃	1	2	yes	—
287	#123	C₂²×C₃	1	1	yes	characteristic, complemented
288	#123	C₂²×C₃	1	2	yes	complemented
289	#123	C₂²×C₃	1	2	yes	complemented
290	#123	C₂²×C₃	1	2	yes	complemented
291	#123	C₂²×C₃	1	2	yes	complemented
292	#123	C₂²×C₃	1	2	yes	complemented
293	#123	C₂²×C₃	1	2	yes	complemented
294	#123	C₂²×C₃	1	2	yes	complemented
295	#123	C₂²×C₃	1	2	yes	complemented
296	C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
297	C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
298	C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
299	C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
300	C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
301	C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
302	C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
303	C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
304	C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
305	#121	C₂²×C₃	1	1	yes	characteristic
306	#121	C₂²×C₃	1	1	yes	characteristic
307	#121	C₂²×C₃	1	2	yes	—
308	#121	C₂²×C₃	1	2	yes	—
309	#121	C₂²×C₃	1	2	yes	—
310	#121	C₂²×C₃	1	2	yes	—
311	#121	C₂²×C₃	1	1	yes	characteristic
312	#121	C₂²×C₃	1	2	yes	—
313	#121	C₂²×C₃	1	2	yes	—
314	#121	C₂²×C₃	1	2	yes	complemented
315	#121	C₂²×C₃	1	2	yes	complemented
316	#121	C₂²×C₃	1	2	yes	complemented
317	#121	C₂²×C₃	1	2	yes	complemented
318	#121	C₂²×C₃	1	2	yes	complemented
319	#121	C₂²×C₃	1	1	yes	characteristic, complemented
320	#121	C₂²×C₃	1	2	yes	complemented
321	#121	C₂²×C₃	1	2	yes	complemented
322	#120	C₂²×C₃	1	2	yes	—
323	#120	C₂²×C₃	1	2	yes	—
324	#120	C₂²×C₃	1	2	yes	—
325	#120	C₂²×C₃	1	2	yes	—
326	C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
328	C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
329	C₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
330	C₄×D₄	C₂²×C₃	1	1	yes	characteristic
331	C₄×D₄	C₂²×C₃	1	1	yes	characteristic
332	C₄×D₄	C₂²×C₃	1	1	yes	characteristic
333	C₄×D₄	C₂²×C₃	1	1	yes	characteristic
334	C₄×D₄	C₂²×C₃	1	2	yes	complemented
335	C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
336	C₄×D₄	C₂²×C₃	1	2	yes	complemented
337	C₄×D₄	C₂²×C₃	1	2	yes	complemented
338	C₄×D₄	C₂²×C₃	1	2	yes	complemented
339	C₄×D₄	C₂²×C₃	1	2	yes	complemented
340	C₄×D₄	C₂²×C₃	1	2	yes	complemented
341	C₄×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
342	C₄×D₄	C₂²×C₃	1	2	yes	complemented
343	#117	C₂²×C₃	1	1	yes	characteristic
344	#117	C₂²×C₃	1	1	yes	characteristic, complemented
345	#117	C₂²×C₃	1	2	yes	complemented
346	#117	C₂²×C₃	1	2	yes	complemented
347	C₂×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
348	C₂×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
349	C₂×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
350	C₂×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
351	C₂³×C₃	—	4	2	no	—
352	C₂³×C₃	—	4	2	no	—
353	C₂³×C₃	—	4	2	no	—
354	C₂³×C₃	C₂⁴	1	1	yes	characteristic
355	C₂³×C₃	C₂⁴	1	2	yes	—
356	C₂³×C₃	C₂⁴	1	2	yes	—
357	C₂³×C₃	C₂⁴	1	1	yes	characteristic
358	C₂³×C₃	C₂⁴	1	1	yes	characteristic
359	C₂³×C₃	C₂⁴	1	2	yes	—
360	C₃×Q₈	—	2	2	no	—
361	C₃×Q₈	—	2	2	no	—
362	C₃×Q₈	—	2	2	no	—
363	C₃×Q₈	—	4	2	no	—
364	C₃×Q₈	—	4	1	no	—
365	C₃×D₄	—	2	2	no	—
366	C₃×D₄	—	2	2	no	—
367	C₃×D₄	—	2	2	no	—
368	C₃×D₄	—	4	2	no	—
369	C₃×D₄	—	4	1	no	—
370	C₃×D₄	—	4	2	no	—
371	C₃×D₄	—	4	2	no	—
372	C₃×D₄	—	4	2	no	—
373	C₃×D₄	—	4	2	no	—
374	C₃×D₄	—	4	2	no	—
375	C₃×D₄	—	4	1	no	—
376	C₃×D₄	—	4	2	no	—
377	C₃×D₄	—	4	1	no	—
378	C₃×D₄	—	4	2	no	—
379	C₃×D₄	—	4	2	no	—
380	C₃×D₄	—	4	2	no	—
381	C₃×D₄	—	4	2	no	—
382	C₃×D₄	—	4	2	no	—
383	C₂×C₃×C₄	—	2	2	no	—
384	C₂×C₃×C₄	—	2	2	no	—
385	C₂×C₃×C₄	—	2	2	no	—
386	C₂×C₃×C₄	—	4	2	no	—
387	C₂×C₃×C₄	—	4	1	no	—
388	C₂×C₃×C₄	—	4	2	no	—
389	C₂×C₃×C₄	—	4	2	no	—
390	C₂×C₃×C₄	—	4	1	no	—
391	C₂×C₃×C₄	—	4	2	no	—
392	C₂×C₃×C₄	—	4	2	no	—
393	C₂×C₃×C₄	—	4	2	no	—
394	C₂×C₃×C₄	—	4	2	no	—
395	C₂×C₃×C₄	—	4	2	no	—
396	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
397	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
398	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
399	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
400	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
401	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
402	C₂×C₃×C₄	C₂⁴	1	2	yes	—
403	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
404	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
405	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
406	C₂×C₃×C₄	C₂⁴	1	2	yes	—
407	C₂×C₃×C₄	C₂⁴	1	2	yes	—
408	C₂×C₃×C₄	C₂⁴	1	2	yes	—
409	C₂×C₃×C₄	C₂⁴	1	2	yes	—
410	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
411	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
412	C₂×C₃×C₄	C₂⁴	1	1	yes	characteristic
413	C₂⁴	C₂³×C₃	1	2	yes	—
414	#41	—	4	2	no	—
415	#41	—	4	2	no	—
416	#41	—	4	2	no	—
417	#41	—	4	2	no	—
418	C₂×Q₈	—	4	2	no	—
419	C₂×Q₈	C₂³×C₃	1	1	yes	characteristic
420	C₂×Q₈	C₂³×C₃	1	1	yes	characteristic
421	C₂×Q₈	C₂³×C₃	1	1	yes	characteristic
422	C₂×Q₈	C₂³×C₃	1	1	yes	characteristic
423	C₂×Q₈	C₂³×C₃	1	2	yes	—
424	C₂×D₄	—	4	2	no	—
425	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
426	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
427	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
428	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
429	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
430	C₂×D₄	C₂³×C₃	1	2	yes	—
431	C₂×D₄	C₂³×C₃	1	2	yes	—
432	C₂×D₄	C₂³×C₃	1	2	yes	—
433	C₂×D₄	C₂³×C₃	1	2	yes	—
434	C₂×D₄	C₂³×C₃	1	2	yes	—
435	C₂×D₄	C₂³×C₃	1	2	yes	—
436	C₂×D₄	C₂³×C₃	1	2	yes	—
437	C₂×D₄	C₂³×C₃	1	1	yes	characteristic
438	C₂×D₄	C₂³×C₃	1	2	yes	—
439	C₂×D₄	C₂³×C₃	1	2	yes	—
440	C₂×D₄	C₂³×C₃	1	2	yes	—
441	C₂×D₄	C₂³×C₃	1	2	yes	—
442	C₂×D₄	C₂³×C₃	1	2	yes	—
443	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
444	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
445	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
446	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
447	C₂²×C₄	C₂³×C₃	1	1	yes	characteristic
448	C₂²×C₄	C₂³×C₃	1	2	yes	—
449	C₂²×C₄	C₂³×C₃	1	2	yes	—
450	C₂²×C₄	C₂³×C₃	1	2	yes	—
451	C₂²×C₄	C₂³×C₃	1	2	yes	—
452	C₂²×C₄	C₂³×C₃	1	2	yes	—
453	C₂²×C₄	C₂³×C₃	1	2	yes	—
454	C₂²×C₄	C₂³×C₃	1	2	yes	—
455	C₂²×C₄	C₂³×C₃	1	2	yes	—
456	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
457	C₄⋊C₄	C₂³×C₃	1	2	yes	—
458	C₄⋊C₄	C₂³×C₃	1	2	yes	—
459	C₄⋊C₄	C₂³×C₃	1	2	yes	—
460	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
461	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
462	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
463	C₄⋊C₄	C₂³×C₃	1	2	yes	—
464	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
465	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
466	C₄⋊C₄	C₂³×C₃	1	2	yes	—
467	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
468	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
469	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
470	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
471	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
472	C₄⋊C₄	C₂³×C₃	1	2	yes	—
473	C₄⋊C₄	C₂³×C₃	1	2	yes	—
474	C₄⋊C₄	C₂³×C₃	1	2	yes	—
475	C₄⋊C₄	C₂³×C₃	1	2	yes	—
476	C₄⋊C₄	C₂³×C₃	1	2	yes	—
477	C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
478	C₄⋊C₄	C₂³×C₃	1	2	yes	—
479	C₄⋊C₄	C₂³×C₃	1	2	yes	—
480	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
481	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
482	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
483	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
484	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
485	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
486	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
487	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
488	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
489	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
490	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
491	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
492	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
493	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
494	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
495	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
496	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
497	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
498	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
499	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
500	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
501	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
502	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
503	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
504	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
505	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
506	C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
507	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
508	C₂²⋊C₄	C₂³×C₃	1	2	yes	—
509	C₄²	C₂³×C₃	1	1	yes	characteristic
510	C₄²	C₂³×C₃	1	1	yes	characteristic
511	C₄²	C₂³×C₃	1	1	yes	characteristic
512	C₄²	C₂³×C₃	1	1	yes	characteristic
513	C₄²	C₂³×C₃	1	1	yes	characteristic
514	C₄²	C₂³×C₃	1	2	yes	—
515	C₄²	C₂³×C₃	1	1	yes	characteristic
516	C₄²	C₂³×C₃	1	2	yes	—
517	C₄²	C₂³×C₃	1	2	yes	—
518	C₂²×C₃	—	2	1	no	—
519	C₂²×C₃	—	2	1	no	—
520	C₂²×C₃	—	2	1	no	—
521	C₂²×C₃	—	2	2	no	—
522	C₂²×C₃	—	2	2	no	—
523	C₂²×C₃	—	2	2	no	—
524	C₂²×C₃	—	2	1	no	—
525	C₂²×C₃	—	2	1	no	—
526	C₂²×C₃	—	2	2	no	—
527	C₂²×C₃	—	2	2	no	—
528	C₂²×C₃	—	2	2	no	—
529	C₂²×C₃	—	2	1	no	—
530	C₂²×C₃	—	2	1	no	—
531	C₂²×C₃	—	2	2	no	—
532	C₂²×C₃	—	2	2	no	—
533	C₂²×C₃	—	2	2	no	—
534	C₂²×C₃	—	2	1	no	—
535	C₂²×C₃	—	2	1	no	—
536	C₂²×C₃	—	8	4	no	—
537	C₂²×C₃	C₂⁵	1	1	yes	characteristic
538	C₃×C₄	—	2	1	no	—
539	C₃×C₄	—	2	1	no	—
540	C₃×C₄	—	2	1	no	—
541	C₃×C₄	—	2	2	no	—
542	C₃×C₄	—	2	2	no	—
543	C₃×C₄	—	2	2	no	—
544	C₃×C₄	—	2	1	no	—
545	C₃×C₄	—	2	2	no	—
546	C₃×C₄	—	2	1	no	—
547	C₃×C₄	—	2	1	no	—
548	C₃×C₄	—	2	1	no	—
549	C₃×C₄	—	2	2	no	—
550	C₃×C₄	—	2	1	no	—
551	C₃×C₄	—	2	1	no	—
552	C₃×C₄	—	2	1	no	—
553	C₃×C₄	—	2	1	no	—
554	C₃×C₄	H(5,𝔽₂)	1	2	yes	—
555	C₂³	—	4	2	no	—
556	C₂³	—	4	2	no	—
557	C₂³	—	4	2	no	—
558	C₂³	C₂⁴×C₃	1	1	yes	characteristic
559	C₂³	C₂⁴×C₃	1	2	yes	—
560	C₂³	C₂⁴×C₃	1	2	yes	—
561	C₂³	C₂⁴×C₃	1	1	yes	characteristic
562	C₂³	C₂⁴×C₃	1	1	yes	characteristic
563	C₂³	C₂⁴×C₃	1	2	yes	—
564	Q₈	—	2	2	no	—
565	Q₈	—	2	2	no	—
566	Q₈	—	2	2	no	—
567	Q₈	—	4	2	no	—
568	Q₈	—	4	1	no	—
569	D₄	—	2	2	no	—
570	D₄	—	2	2	no	—
571	D₄	—	2	2	no	—
572	D₄	—	4	2	no	—
573	D₄	—	4	2	no	—
574	D₄	—	4	2	no	—
575	D₄	—	4	2	no	—
576	D₄	—	4	2	no	—
577	D₄	—	4	1	no	—
578	D₄	—	4	2	no	—
579	D₄	—	4	2	no	—
580	D₄	—	4	2	no	—
581	D₄	—	4	2	no	—
582	D₄	—	4	2	no	—
583	D₄	—	4	1	no	—
584	D₄	—	4	2	no	—
585	D₄	—	4	1	no	—
586	D₄	—	4	2	no	—
587	C₂×C₄	—	2	2	no	—
588	C₂×C₄	—	2	2	no	—
589	C₂×C₄	—	2	2	no	—
590	C₂×C₄	—	4	2	no	—
591	C₂×C₄	—	4	2	no	—
592	C₂×C₄	—	4	2	no	—
593	C₂×C₄	—	4	2	no	—
594	C₂×C₄	—	4	2	no	—
595	C₂×C₄	—	4	2	no	—
596	C₂×C₄	—	4	1	no	—
597	C₂×C₄	—	4	2	no	—
598	C₂×C₄	—	4	2	no	—
599	C₂×C₄	—	4	1	no	—
600	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
601	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
602	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
603	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
604	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
605	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
606	C₂×C₄	C₂⁴×C₃	1	2	yes	—
607	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
608	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
609	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
610	C₂×C₄	C₂⁴×C₃	1	2	yes	—
611	C₂×C₄	C₂⁴×C₃	1	2	yes	—
612	C₂×C₄	C₂⁴×C₃	1	2	yes	—
613	C₂×C₄	C₂⁴×C₃	1	2	yes	—
614	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
615	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
616	C₂×C₄	C₂⁴×C₃	1	1	yes	characteristic
617	C₂×C₃	—	4	1	no	—
618	C₂×C₃	—	4	1	no	—
619	C₂×C₃	—	4	2	no	—
620	C₂×C₃	—	4	2	no	—
621	C₂×C₃	—	4	2	no	—
622	C₂×C₃	—	4	1	no	—
623	C₂×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
624	C₂×C₃	#585	1	1	yes	characteristic
625	C₂×C₃	#585	1	1	yes	characteristic
626	C₂²	—	2	1	no	—
627	C₂²	—	2	1	no	—
628	C₂²	—	2	1	no	—
629	C₂²	—	2	2	no	—
630	C₂²	—	2	2	no	—
631	C₂²	—	2	2	no	—
632	C₂²	—	2	1	no	—
633	C₂²	—	2	1	no	—
634	C₂²	—	2	2	no	—
635	C₂²	—	2	2	no	—
636	C₂²	—	2	2	no	—
637	C₂²	—	2	1	no	—
638	C₂²	—	2	1	no	—
639	C₂²	—	2	2	no	—
640	C₂²	—	2	2	no	—
641	C₂²	—	2	2	no	—
642	C₂²	—	2	1	no	—
643	C₂²	—	2	1	no	—
644	C₂²	—	8	4	no	—
645	C₂²	C₂⁵×C₃	1	1	yes	characteristic
646	C₄	—	2	1	no	—
647	C₄	—	2	1	no	—
648	C₄	—	2	1	no	—
649	C₄	—	2	2	no	—
650	C₄	—	2	2	no	—
651	C₄	—	2	2	no	—
652	C₄	—	2	1	no	—
653	C₄	—	2	2	no	—
654	C₄	—	2	1	no	—
655	C₄	—	2	1	no	—
656	C₄	—	2	1	no	—
657	C₄	—	2	2	no	—
658	C₄	—	2	1	no	—
659	C₄	—	2	1	no	—
660	C₄	—	2	1	no	—
661	C₄	—	2	1	no	—
662	C₄	C₃×H(5,𝔽₂)	1	2	yes	—
663	C₃	#3562	1	1	yes	characteristic, direct product factor, Sylow
664	C₂	—	4	1	no	—
665	C₂	—	4	2	no	—
666	C₂	—	4	2	no	—
667	C₂	—	4	1	no	—
668	C₂	—	4	1	no	—
669	C₂	—	4	2	no	—
670	C₂	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
671	C₂	C₃×#585	1	1	yes	characteristic
672	C₂	C₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₃×#562	C₂	semidirect
2. C₃×#560	C₂	semidirect
3. C₃×#559	C₂	semidirect
4. C₃×#556	C₂	semidirect
5. C₃×#553	C₂	semidirect
6. C₃×#551	C₂	semidirect
7. C₃×#550	C₂	semidirect
8. C₃×#548	C₂	semidirect
9. C₃×#548	C₂	semidirect
10. C₃×#547	C₂	semidirect
11. C₃×#546	C₂	semidirect
12. C₃×#546	C₂	semidirect
13. C₃×#541	C₂	semidirect
14. C₃×#540	C₂	semidirect
15. C₃×#540	C₂	semidirect
16. C₃×#539	C₂	semidirect
17. C₃×#538	C₂	semidirect
18. C₃×#538	C₂	semidirect
19. C₃×#536	C₂	semidirect
20. C₃×#535	C₂	semidirect
21. C₃×#532	C₂	semidirect
22. C₃×#529	C₂	semidirect
23. C₃×#529	C₂	semidirect
24. #3562	C₃	direct (N × H)
28. C₂×C₃×#41	C₂²	semidirect
29. C₂²×C₃×Q₈	C₂²	semidirect
31. C₃×C₄⋊Q₈	C₂²	semidirect
32. C₃×C₄⋊Q₈	C₂²	semidirect
35. C₃×#127	C₂²	semidirect
39. C₃×#126	C₂²	semidirect
40. C₃×#126	C₂²	semidirect
41. C₃×#126	C₂²	semidirect
42. C₃×#126	C₂²	semidirect
43. C₃×#125	C₂²	semidirect
44. C₃×#125	C₂²	semidirect
45. C₃×#125	C₂²	semidirect
46. C₃×#125	C₂²	semidirect
53. C₃×#124	C₂²	semidirect
54. C₃×#124	C₂²	semidirect
55. C₃×#124	C₂²	semidirect
60. C₃×#123	C₂²	semidirect
61. C₃×#123	C₂²	semidirect
62. C₃×#123	C₂²	semidirect
63. C₃×#123	C₂²	semidirect
64. C₃×#123	C₂²	semidirect
65. C₃×#123	C₂²	semidirect
66. C₃×#123	C₂²	semidirect
67. C₃×#123	C₂²	semidirect
68. C₃×#123	C₂²	semidirect
71. C₃×C₂²⋊Q₈	C₂²	semidirect
72. C₃×C₂²⋊Q₈	C₂²	semidirect
73. C₃×C₂²⋊Q₈	C₂²	semidirect
74. C₃×C₂²⋊Q₈	C₂²	semidirect
75. C₃×C₂²⋊Q₈	C₂²	semidirect
76. C₃×C₂²⋊Q₈	C₂²	semidirect
77. C₃×C₂²⋊Q₈	C₂²	semidirect
87. C₃×#121	C₂²	semidirect
88. C₃×#121	C₂²	semidirect
89. C₃×#121	C₂²	semidirect
90. C₃×#121	C₂²	semidirect
91. C₃×#121	C₂²	semidirect
92. C₃×#121	C₂²	semidirect
93. C₃×#121	C₂²	semidirect
94. C₃×#121	C₂²	semidirect
99. C₃×C₄×Q₈	C₂²	semidirect
100. C₃×C₄×Q₈	C₂²	semidirect
101. C₃×C₄×Q₈	C₂²	semidirect
102. C₃×C₄×Q₈	C₂²	semidirect
107. C₃×C₄×D₄	C₂²	semidirect
108. C₃×C₄×D₄	C₂²	semidirect
109. C₃×C₄×D₄	C₂²	semidirect
110. C₃×C₄×D₄	C₂²	semidirect
111. C₃×C₄×D₄	C₂²	semidirect
112. C₃×C₄×D₄	C₂²	semidirect
113. C₃×C₄×D₄	C₂²	semidirect
114. C₃×C₄×D₄	C₂²	semidirect
115. C₃×C₄×D₄	C₂²	semidirect
117. C₃×#117	C₂²	semidirect
118. C₃×#117	C₂²	semidirect
119. C₃×#117	C₂²	semidirect
120. C₂×C₃×C₄⋊C₄	C₂²	semidirect
123. C₂×C₃×C₄²	C₂²	semidirect
124. #562	C₂×C₃	semidirect
125. #560	C₂×C₃	semidirect
126. #559	C₂×C₃	semidirect
127. #556	C₂×C₃	semidirect
128. #553	C₂×C₃	semidirect
129. #551	C₂×C₃	semidirect
130. #550	C₂×C₃	semidirect
131. #548	C₂×C₃	semidirect
132. #548	C₂×C₃	semidirect
133. #547	C₂×C₃	semidirect
134. #546	C₂×C₃	semidirect
135. #546	C₂×C₃	semidirect
136. #541	C₂×C₃	semidirect
137. #540	C₂×C₃	semidirect
138. #540	C₂×C₃	semidirect
139. #539	C₂×C₃	semidirect
140. #538	C₂×C₃	semidirect
141. #538	C₂×C₃	semidirect
142. #536	C₂×C₃	semidirect
143. #535	C₂×C₃	semidirect
144. #532	C₂×C₃	semidirect
145. #529	C₂×C₃	semidirect
146. #529	C₂×C₃	semidirect
255. C₂×#41	C₂²×C₃	semidirect
256. C₂²×Q₈	C₂²×C₃	semidirect
258. C₄⋊Q₈	C₂²×C₃	semidirect
259. C₄⋊Q₈	C₂²×C₃	semidirect
262. #127	C₂²×C₃	semidirect
266. #126	C₂²×C₃	semidirect
267. #126	C₂²×C₃	semidirect
268. #126	C₂²×C₃	semidirect
269. #126	C₂²×C₃	semidirect
270. #125	C₂²×C₃	semidirect
271. #125	C₂²×C₃	semidirect
272. #125	C₂²×C₃	semidirect
273. #125	C₂²×C₃	semidirect
280. #124	C₂²×C₃	semidirect
281. #124	C₂²×C₃	semidirect
282. #124	C₂²×C₃	semidirect
287. #123	C₂²×C₃	semidirect
288. #123	C₂²×C₃	semidirect
289. #123	C₂²×C₃	semidirect
290. #123	C₂²×C₃	semidirect
291. #123	C₂²×C₃	semidirect
292. #123	C₂²×C₃	semidirect
293. #123	C₂²×C₃	semidirect
294. #123	C₂²×C₃	semidirect
295. #123	C₂²×C₃	semidirect
298. C₂²⋊Q₈	C₂²×C₃	semidirect
299. C₂²⋊Q₈	C₂²×C₃	semidirect
300. C₂²⋊Q₈	C₂²×C₃	semidirect
301. C₂²⋊Q₈	C₂²×C₃	semidirect
302. C₂²⋊Q₈	C₂²×C₃	semidirect
303. C₂²⋊Q₈	C₂²×C₃	semidirect
304. C₂²⋊Q₈	C₂²×C₃	semidirect
314. #121	C₂²×C₃	semidirect
315. #121	C₂²×C₃	semidirect
316. #121	C₂²×C₃	semidirect
317. #121	C₂²×C₃	semidirect
318. #121	C₂²×C₃	semidirect
319. #121	C₂²×C₃	semidirect
320. #121	C₂²×C₃	semidirect
321. #121	C₂²×C₃	semidirect
326. C₄×Q₈	C₂²×C₃	semidirect
327. C₄×Q₈	C₂²×C₃	semidirect
328. C₄×Q₈	C₂²×C₃	semidirect
329. C₄×Q₈	C₂²×C₃	semidirect
334. C₄×D₄	C₂²×C₃	semidirect
335. C₄×D₄	C₂²×C₃	semidirect
336. C₄×D₄	C₂²×C₃	semidirect
337. C₄×D₄	C₂²×C₃	semidirect
338. C₄×D₄	C₂²×C₃	semidirect
339. C₄×D₄	C₂²×C₃	semidirect
340. C₄×D₄	C₂²×C₃	semidirect
341. C₄×D₄	C₂²×C₃	semidirect
342. C₄×D₄	C₂²×C₃	semidirect
344. #117	C₂²×C₃	semidirect
345. #117	C₂²×C₃	semidirect
346. #117	C₂²×C₃	semidirect
347. C₂×C₄⋊C₄	C₂²×C₃	semidirect
350. C₂×C₄²	C₂²×C₃	semidirect
663. C₃	#3562	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₃×#562	2
C₃×#560	2
C₃×#559	2
C₃×#556	2
C₃×#553	2
C₃×#551	2
C₃×#550	2
C₃×#548	2
C₃×#547	2
C₃×#546	2
C₃×#541	2
C₃×#540	2
C₃×#539	2
C₃×#538	2
C₃×#536	2
C₃×#535	2
C₃×#532	2
C₃×#529	2
#3562	3

Subgroups — C3×#3562 #87446

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#3562 #87446